Zero-temperature dynamics of Ising models on the triangular lattice

C. Chris Wu

doi:10.1023/A:1013140616779

Zero-temperature dynamics of Ising models on the triangular lattice

C. Chris Wu

Penn State Beaver

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider the nature of spin flips of zero-temperature dynamics for ferromagnetic Ising models on the triangular lattice with nearest-neighbor interactions and an initial configuration chosen from a symmetric Bernoulli distribution. We prove that all spins flip infinitely many times for almost every realization of the dynamics and initial configuration.

Original language	English (US)
Pages (from-to)	369-373
Number of pages	5
Journal	Journal of Statistical Physics
Volume	106
Issue number	1-2
DOIs	https://doi.org/10.1023/A:1013140616779
State	Published - 2002

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1023/A:1013140616779

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title = "Zero-temperature dynamics of Ising models on the triangular lattice",

abstract = "We consider the nature of spin flips of zero-temperature dynamics for ferromagnetic Ising models on the triangular lattice with nearest-neighbor interactions and an initial configuration chosen from a symmetric Bernoulli distribution. We prove that all spins flip infinitely many times for almost every realization of the dynamics and initial configuration.",

author = "Wu, \{C. Chris\}",

note = "Funding Information: This work was initiated when the author was visiting the Courant Institute of Mathematical Sciences. He thanks Chuck Newman and the Institute for the warm hospitality he received. He is grateful to Douglas Howard and Chuck Newman for introducing to him this topic. Research was supported in part by NSF Grant DMS-98-03598.",

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AU - Wu, C. Chris

N1 - Funding Information: This work was initiated when the author was visiting the Courant Institute of Mathematical Sciences. He thanks Chuck Newman and the Institute for the warm hospitality he received. He is grateful to Douglas Howard and Chuck Newman for introducing to him this topic. Research was supported in part by NSF Grant DMS-98-03598.

PY - 2002

Y1 - 2002

N2 - We consider the nature of spin flips of zero-temperature dynamics for ferromagnetic Ising models on the triangular lattice with nearest-neighbor interactions and an initial configuration chosen from a symmetric Bernoulli distribution. We prove that all spins flip infinitely many times for almost every realization of the dynamics and initial configuration.

AB - We consider the nature of spin flips of zero-temperature dynamics for ferromagnetic Ising models on the triangular lattice with nearest-neighbor interactions and an initial configuration chosen from a symmetric Bernoulli distribution. We prove that all spins flip infinitely many times for almost every realization of the dynamics and initial configuration.

UR - https://www.scopus.com/pages/publications/0036108943

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U2 - 10.1023/A:1013140616779

DO - 10.1023/A:1013140616779

M3 - Article

AN - SCOPUS:0036108943

SN - 0022-4715

VL - 106

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EP - 373

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1-2

ER -

Zero-temperature dynamics of Ising models on the triangular lattice

Abstract

All Science Journal Classification (ASJC) codes

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